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slavikrds [6]
3 years ago
11

Find the area of a circle with a diameter of 10 units. Round answer to the nearest hundredth of a square unit.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

Step-by-step explanation:

The area of a circle is given by A = π*r²

If diameter is 10 units, the radius is 5, so:

A = π * 5² = 78,54units²

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Write an equation of the line and interpret the slope.​
coldgirl [10]

Answer:

y=-100x+700

Step-by-step explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

4 0
3 years ago
The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]


Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]


=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
Read 2 more answers
What is the domain of the function below? (0,2 (3,1) (5,2) (8,4)
KiRa [710]
{0,3,5,8} ok  this0 is the an0sw0er
7 0
4 years ago
Read 2 more answers
A business owner noted the features of the 100 cars parked at the business. Here are the results:
AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The probability is  P(4 \ doors | sunroof ) =  0.40

Step-by-step explanation:

 From the question we are told that

        The number of cars packed is  n = 100

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

   This probability is mathematically represented as

               P(4 \ doors | sunroof )

Baye's Rule define this probability mathematically  as

             P(4 \ doors | sunroof ) =  \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}

   From the diagram

          P(4 \ doors \ n \ sunroof ) =  20

and     P(sunroof) =  50

So

      P(4 \ doors | sunroof ) =  \frac{20}{50}

      P(4 \ doors | sunroof ) =  0.40

       

3 0
4 years ago
Mishka is on a long road trip, and she averages 75 mph for 2 hours while she's driving on the highway. While she's driving on si
slega [8]

If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.

8 0
4 years ago
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